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Finding the Fourth Proportional to 928.48, 1,390.68 and 789.96

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Solution

The fourth proportional to 928.48, 1,390.68 and 789.96 is: 1,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.48 : 1,390.68 = 789.96 : x
  2. Step 2: Convert to fraction form
    928.48/1,390.68 = 789.96/x
  3. Step 3: Cross multiply
    928.48x = 1,390.68 × 789.96
  4. Step 4: Simplify right side
    928.48x = 1,098,581.57
  5. Step 5: Solve for x
    x = 1,098,581.57/928.48
  6. Step 6: Final answer
    x = 1,183.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.